Question

1. A school club consists of 28 male students and 15 female students. If 3 students are selected to represent the club in the student government, what is the probability 1 will be male and 2 will be female? Group of answer choices 0.238 0.333 0.205 0.070

2.

A lottery offers one $1000 prize, one $500 prize, and seven $50 prizes. One thousand tickets are sold at $2.50 each. Find the expectation if a person buys one ticket.

Group of answer choices

-$0.95

$1.85

$1.55

-$0.65

Answer 1

1) P(1 male, 2 female) = C(28, 1)* C(15, 2)/(C(43, 3))

Hence, Option A) 0.238 is the answer.

2) Net prize = Win amount - cost

Hence, expected value is -$0.65 (Option D)

Please comment if any doubt. Thank you.